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How to use KKT to solve the problem with multiple sets of constraints

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#optimization #convex-optimization #nonlinear-optimization #karush-kuhn-tucker
68
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Minimizing symmetric convex functions of eigenvalues

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#optimization #convex-optimization #nonlinear-optimization #semidefinite-programming #schur-complement
54
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How to capture low-rankness of a symmetric matrix using its components (not eigenvalues)?

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#linear-algebra #optimization #convex-optimization #nonlinear-optimization #semidefinite-programming
65
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An integral-formula multivariate Talyor's theorem for twice differentiable function

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#optimization #taylor-expansion #convex-optimization #nonlinear-optimization
19
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Finding the real roots of a set of multivariate polynomial in an interval

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#polynomials #roots #nonlinear-optimization #multivariate-polynomial
40
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Are there practical problems in optimization where its dual problem is computationally easier to solve?

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#optimization #convex-analysis #convex-optimization #nonlinear-optimization #non-convex-optimization
74
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Does anyone have experience with this multidimensional optimization algorithm

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#nonlinear-optimization #numerical-optimization
16
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conjugate duality involving sum of convex functions

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#optimization #convex-analysis #convex-optimization #nonlinear-optimization
34
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Farkas lemma query

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#optimization #nonlinear-optimization
76
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Linear programming with $XX^T=Identity$ constraint

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#linear-algebra #optimization #systems-of-equations #nonlinear-optimization #nonlinear-system
89
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Is it true that a function is $c$-strongly convex if $f - c\|x\|^2_p$ is convex for ANY norm $\|x\|_p$?

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#solution-verification #convex-analysis #convex-optimization #nonlinear-optimization #numerical-optimization
53
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Request for help understanding a solution in a research paper

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#matrices #nonlinear-optimization
189
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Optimality condition inspired by subdifferential of square root: $y\in \text{argmin}(g(x)-a^Tx ) \Rightarrow y\in \text{argmin}(g^2(x)-2g(y)a^Tx).$

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#optimization #nonlinear-optimization #non-convex-optimization #variational-analysis
87
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Penalty method and the question of equivalence in a specific optimization problem

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#optimization #nonlinear-optimization
95
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A trajectory optimization problem

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#calculus #optimization #nonlinear-optimization

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